Glasnik Matematicki, Vol. 42, No.2 (2007), 427-431.

ON THE FIXED POINT PROPERTY FOR INVERSE LIMITS OF FANS

Antonio Peláez

Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México D.F., C.P. 04510, México.
e-mail: pelaez@matem.unam.mx

Abstract.   In 1984, M. M. Marsh gave conditions under which the inverse limit of an inverse sequence of fans has the fixed point property. In this paper we give an extension of that result.

2000 Mathematics Subject Classification.   54H25.

Key words and phrases.   Fan, fixed point property, inverse limit.

Full text (PDF) (free access)

DOI: 10.3336/gm.42.2.15

References:

  1. R. Engelking, General topology, Heldermann Verlag, Berlin, 1989.
    MathSciNet

  2. M. M. Marsh, A fixed point theorem for inverse limits of fans, Proc. Amer. Math. Soc. 91 (1984), 139-142.
    MathSciNet     CrossRef

  3. S. B. Nadler, Jr., Contiuum Theory: An Introduction, Marcel Dekker, Inc., New York, Basel, Hong Kong, 1992.
    MathSciNet

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